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The average age of a group of N students is 'T' years. 1. If 'n' students join, the average age of the group increases by 't' years,
Average age of new students $= T + ({N}/n + 1)t$
If the given observations (x) are occuring with certain frequency (A) then,
Average = ${A_1x_1 + A_2x_2 + A_3x_3 +...+ A_nx_n}/{x_1 + x_2 +...+ x_n}$ where, $A_1, A_2, A_3, ... A_n$ are frequencies
If in the group of N persons, a new person comes at the place of a person of 'T' years, so that average age, increases by 't' years
If the average age decreases by 't' years after entry of new person,